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The gravity dual of supersymmetric gauge theories on a squashed $S^1 \times S^3$

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arxiv 1402.2278 v4 pith:6WURBMP2 submitted 2014-02-10 hep-th

Davide Cassani , Dario Martelli This is my paper · ORCID
classification hep-th
keywords dualfieldgaugesolutionsupersymmetricgravitynon-trivialsquashed
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We present a new one-parameter family of supersymmetric solutions deforming AdS_5. This is constructed as an asymptotically locally anti de Sitter (AlAdS) solution of five-dimensional minimal gauged supergravity, with topology R x R^4 and a non-trivial graviphoton field, and can be uplifted to ten or eleven dimensional supergravities. An analytic continuation of this solution yields the gravity dual to a class of four-dimensional N=1 supersymmetric gauge theories on a curved manifold with topology S^1 x S^3, comprising an SU(2) x U(1)-symmetric squashed three-sphere, with a non-trivial background gauge field coupling to the R-symmetry current. We compute the holographically renormalised on-shell action and interpret it in terms of the Casimir energy of the dual field theory. We also determine the holographic conserved charges of the solution and discuss relations between them.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Equivariant localization for $D=5$ gauged supergravity

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    A method is given to compute the D=5 on-shell action via equivariant localization after dimensional reduction to D=4 N=2 gauged supergravity for solutions admitting both the R-symmetry Killing vector and an additional...

  2. Minimal $D=4$ truncations of type IIA

    hep-th 2019-08 conditional novelty 7.0 of 10

    Explicit consistent truncations from massive type IIA on S^6 to minimal D=4 N=2 and N=3 gauged supergravities are constructed and verified.

  3. Supersymmetric zeta functions and determinants

    hep-th 2025-11 conditional novelty 6.0 of 10

    Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.

  4. Localizing AlAdS$_5$ black holes and the SUSY index on $S^1 \times M_3$

    hep-th 2025-11 conditional novelty 6.0 of 10

    The S^1×M_3 supersymmetric index for round, Lens, elliptically and biaxially squashed three-spheres is reproduced from D=5 equivariant localization after subtracting the Casimir energy via a gluing prescription.

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